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An operator corona theorem for a class of subspaces of H∞

Sasane, Amol (2006) An operator corona theorem for a class of subspaces of H∞. CDAM research report series, LSE-CDAM-2006-02. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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Abstract

Let E;E be separable Hilbert spaces. If S is an open subset of T, then AS(L(E;E)) denotes the space of all functions f : D [ S ! L(E;E) that are holomorphic in D, and bounded and continuous on D [ S. In this article we prove the following main results: 1. A theorem concerning the approximation of f 2 AS(L(E;E)) by a function F that is holomorphic in a neighbourhood of D[S and such that the error F

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2006 Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2006-02
Date Deposited: 10 Oct 2008 14:43
URL: http://eprints.lse.ac.uk/13795/

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